Theorems · Theorem · category theory

CategoryTheory.FreeGroupoid.map_comp_lift

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {D : Type u₁} [inst_1 : CategoryTheory.Category.{v₁, u₁} D]
  {E : Type u₂} [inst_2 : CategoryTheory.Groupoid E] (F : CategoryTheory.Functor C D) (G : CategoryTheory.Functor D E),
  (CategoryTheory.FreeGroupoid.map F).comp (CategoryTheory.FreeGroupoid.lift G) =
    CategoryTheory.FreeGroupoid.lift (F.comp G)

Defined in

Mathlib.CategoryTheory.Groupoid.FreeGroupoidOfCategory

Cited by

0 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Groupoid